LCM of 363, 688, 680, 752, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 688, 680, 752, 957 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 363, 688, 680, 752, 957. So, keep reading to learn more.
Given numbers are 363,688,680,752,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,688,680,752,957 is 28934091120.
Find LCM of 363,688,680,752,957 with Prime Factorization
| 2 | 363, 688, 680, 752, 957 |
| 2 | 363, 344, 340, 376, 957 |
| 2 | 363, 172, 170, 188, 957 |
| 2 | 363, 86, 85, 94, 957 |
| 3 | 363, 43, 85, 47, 957 |
| 11 | 121, 43, 85, 47, 319 |
| 11, 43, 85, 47, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 11 x 43 x 85 x 47 x 29 = 28934091120
Therefore, the lowest common multiple of 363,688,680,752,957 is 28934091120.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
363 x 688 x 680 x 752 x 957 = 122217600890880
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
363 : 1, 3, 11, 33, 121, 363
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,688,680,752,957, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
688:2x 2x 2x 2x 43
680:2x 2x 2x 5x 17
752:2x 2x 2x 2x 47
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 11 = 4224
Therefore, the value for common factors is 4224.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 122217600890880/(1x4224)
LCM = 122217600890880/4224
LCM = 28934091120
Thus, we can understand that the LCM of 363,688,680,752,957 is 28934091120.
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FAQs on LCM of 363, 688, 680, 752, 957
1. What is the LCM of 363, 688, 680, 752, 957?
Answer: LCM of 363, 688, 680, 752, 957 is 28934091120.
2. How to calculate the LCM of 363, 688, 680, 752, 957?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 363, 688, 680, 752, 957.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.